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nf_fields • Show schema
{'class_group': [2], 'class_number': 2, 'cm': True, 'coeffs': [29, 2, 6, -2, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 44688, 'disc_rad': 798, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [[4, 1]]], [7, [0]], [11, [[4, 1]]], [13, [[4, 1]]], [17, [[4, 1]]], [19, [0]], [23, [[4, 1]]], [29, [[1, 4]]], [31, [[2, 1], [1, 2]]], [37, [[2, 1], [1, 2]]], [41, [[2, 2]]], [43, [[2, 2]]], [47, [[2, 1], [1, 2]]], [53, [[1, 4]]], [59, [[1, 4]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [8, 4, 4, 4], 'galois_label': '4T3', 'galt': 3, 'grd': 39.949968710876355, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 2, 'label': '4.0.44688.2', 'local_algs': ['2.4.4.1', '3.1.0.1', '3.1.0.1', '3.2.1.1', '7.4.2.1', '19.1.0.1', '19.1.0.1', '19.2.1.2'], 'monogenic': -1, 'num_ram': 4, 'r2': 2, 'ramps': [2, 3, 7, 19], 'rd': 14.5394416739, 'regulator': {'__RealLiteral__': 0, 'data': '5.53731876663', 'prec': 44}, 'res': {'gal': ['81,-378,780,-846,529,-130,48,-4,1'], 'sib': ['7,0,16,0,1', '81,-378,780,-846,529,-130,48,-4,1']}, 'subfield_mults': [1], 'subfields': ['-7.0.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{2} a^{3} - \\frac{1}{2} a^{2} - \\frac{1}{2} a - \\frac{9}{2} \\)'], 'used_grh': False, 'zk': ['1', 'a', '1/2*a^2 - 1/2', '1/6*a^3 - 1/6*a^2 - 1/6*a + 1/6']}
Number field data - 4.0.44688.2